Exponential word problems NEED-TO-KNOWS

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This is for Hallacy's 10th grade class

Last updated 1:17 AM on 11/17/22
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14 Terms

1
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Exponential Function
y = ab^x
2
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Growth and Decay Function
A(t) = a(1 + r)^t
3
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Transformations of Exponential Functions
y = ab^x-h + k
4
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"Double"
y = ab^x
5
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"Half-life"
y = ab^x
6
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"Triple"
y = ab^x
7
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Use of percentage
A(t) = a(1 + r)^t
8
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Need a graph or is graph-like
y = ab^x-h + k
9
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"a" in y = ab^x
is the starting number
10
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"b" in y = ab^x
is the base or where the words triple", "double", or "half-life" are needed in the equation
11
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"x" in y = ab^x
is periods of time
12
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"a" in A(t) = a(1 + r)^t
is again the starting number
13
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When do you use "-" or "+" in the equation of A(t) = a(1 + r)^t?
"-" is when it is a decreasing percentage but "+" is when it is increasing
14
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"r" in A(t) = a(1 + r)^t
This is the percentage or the rate (you put the percentage in decimal form ex. 3% is .03)